83000512 has 112 divisors (see below), whose sum is σ = 203200000. Its totient is φ = 33530112.

The previous prime is 83000483. The next prime is 83000513. The reversal of 83000512 is 21500038.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 83000512.

It is not an unprimeable number, because it can be changed into a prime (83000513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 416989 + ... + 417187.

Almost surely, 2^83000512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101600000).

83000512 is an abundant number, since it is smaller than the sum of its proper divisors (120199488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

83000512 is a wasteful number, since it uses less digits than its factorization.

83000512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 83000512 is about 9110.4616787515. The cubic root of 83000512 is about 436.2079640835.

The spelling of 83000512 in words is "eighty-three million, five hundred twelve", and thus it is an aban number.